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  • Yehu YUAN, Duanduan WU
    Systems Engineering - Theory & Practice. 2025, 45(7): 2309-2326. https://doi.org/10.12011/SETP2023-2465
    The digital transformation of enterprises has changed from internal business, organization and business model to digital synergy of production factors and organizational relationship in the upper and lower reaches of supply chain. Based on the data-to-information-to-knowledge-to-wisdom model (DIKW) of data value chain, this paper constructs a multi-stage model of enterprise digital transformation, and uses the data of Chinese A-share listed companies from 2007 to 2021, this paper examines the impact of digital transformation on supply chain resilience. The study found that digital transformation can significantly improve supply chain resilience, with different effects at different stages. In mechanism testing, digital transformation promotes supply chain resilience by promoting information and knowledge spillover in supply chain. Further heterogeneity analysis found that when the enterprise is located in the eastern region, the economic policy uncertainty is high and the industry competition degree is strong, as well as the large-scale, high-tech industry and non-manufacturing industry, for enterprises with low supply chain integration, the impact of digital transformation on supply chain resilience is more significant. Moreover, the digital transformation has the diffusion effect on the upstream and downstream enterprises of the supply chain, which can improve the digital transformation degree and value creation level of the upstream and downstream enterprises. The research results reveal the impact and mechanism of enterprise digital transformation on the resilience of supply chain, provide a new idea for building a resilient supply chain system, and promoting coordinated development of supply chain.
  • WANG Bo, YUAN Jiaxin, YE Xue, HAO Jun
    Journal of Systems Science and Mathematical Sciences. 2025, 45(8): 2363-2375. https://doi.org/10.12341/jssms240834
    Considering the high volatility and complexity of electricity spot price time series, a combined forecasting model based on wavelet transform and LGBM (light gradient boosting machine, LGBM) is proposed. By introducing rolling time window and wavelet transform, the dynamic multi-scale decomposition of electricity spot price series can be realized, and the frequency characteristics can be extracted to reduce its modal complexity and effectively avoid data leakage. In this study, the proposed model is constructed by utilizing the complex nonlinear feature extraction ability of the LGBM algorithm. The spot market data of Shanxi electric power is used to verify the validity of the proposed model. The results show that the proposed model is superior to the mainstream forecasting methods such as long-term and short-term memory model, support vector machine, elastic network regression model and extreme gradient lifting model in many key performance indexes, such as root mean square error, average absolute error and determination coefficient, among which the $ R^2 $ reaches 0.9792, showing high forecasting accuracy. At the same time, the proposed model shows robustness and adaptability under different market conditions, which shows the proposed model can be seen as a reliable forecasting tool for power market participants and helps to optimize trading strategies and reduce market risks.
  • LIU Zhifeng, ZHANG Qin, ZHANG Tingting
    Journal of Systems Science and Mathematical Sciences. 2025, 45(10): 3111-3134. https://doi.org/10.12341/jssms240211
    This study approaches typhoon landfalls as exogenous climate risk events, designating the moment of landfall as the critical intervention point. Utilizing the difference-in-differences (DID) methodology, the research examines the influence of typhoon disasters on the stock returns of publicly traded companies in China, and assesses how financial risks propagate through supply chain networks triggered by typhoon disasters. To gain a more nuanced understanding of these effects, the paper engages in a detailed mechanism analysis by examining the intensity of digital transformation. The results suggest that typhoon disasters have a significant and detrimental impact on the stock returns of firms located in affected areas, with this effect rippling through to their suppliers and customers via the intricate web of supply chain connections. Moreover, the study uncovers a distinct asymmetry in the spillover effects between suppliers and customers. Specifically, the research highlights that the level of digital transformation is instrumental in alleviating the financial risks associated with typhoons and serves as a protective barrier against the adverse effects on stock returns. Finally, a comprehensive suite of robustness checks reinforces the validity and reliability of the study’s conclusions.
  • Yuzhi HAO, Danyang XIE
    China Journal of Econometrics. 2025, 5(3): 615-630. https://doi.org/10.12012/CJoE2025-0089
    Abstract (1206) Download PDF (557) HTML (458)   Knowledge map   Save

    This paper pioneers a novel approach to economic and public policy analysis by leveraging multiple large language models (LLMs) as heterogeneous artificial economic agents. We first evaluate five LLMs’economic decision-making capabilities in solving two-period consumption allocation problems under two distinct scenarios: With explicit utility functions and based on intuitive reasoning. While previous research has often simulated heterogeneity by solely varying prompts, our approach harnesses the inherent variations in analytical capabilities across different LLMs to model agents with diverse cognitive traits. Building on these findings, we construct a multi-LLM-agent-based (MLAB) framework by mapping these LLMs to specific educational groups and corresponding income brackets. Using interest income taxation as a case study, we demonstrate how the MLAB framework can simulate policy impacts across heterogeneous agents, offering a promising new direction for economic and public policy analysis by leveraging LLMs’ human-like reasoning capabilities and computational power.

  • Jiachao PENG, Haonan LI, Jianzhong XIAO
    China Journal of Econometrics. 2025, 5(4): 1199-1230. https://doi.org/10.12012/CJoE2024-0262
    Abstract (1154) Download PDF (217) HTML (892)   Knowledge map   Save

    How to measure the climate transition risk faced by the high-carbon industry, as well as how to effectively identify and mitigate the systemic risk spillover and contagious effects of the high-carbon industry, is an important issue facing policymakers and the academic community. This paper constructs a high-dimensional time-varying vector autoregression index model is used to measure the spillover effects within and between high-carbon industries. The research finds that the high-carbon industry faces the highest climate transition risk, while the financial industry has the lowest. The greater the climate transition risk, the higher the systemic risk faced by listed companies, and the stranded assets of the high-carbon industry are an important transmission path. Under different policy backgrounds, the risk spillover effects of the high-carbon industry to related industries show differentiated inclinations, and the main risk spillover targets of the high-carbon industry are all associated with their own production or financial networks. The banking industry always performs as a risk absorption role at the center of the risk network and is highly associated with the high-carbon industry. This paper provides a basis for governments and regulatory authorities to understand the impact of transition risk on the high-carbon industry and the industry correlation, and provides certain reference value for resolving the cross-industry transmission of systemic risks in the high-carbon industry.

  • Cheng HSIAO
    China Journal of Econometrics. 2025, 5(5): 1231-1243. https://doi.org/10.12012/CJoE2025-0095
    Abstract (1101) Download PDF (732) HTML (975)   Knowledge map   Save

    The fundamental methodologies of machine learning and econometrics are reviewed. We also discuss the challenges of integrating the data-driven and model-based causal approaches and conjecture how it may yield new insights to empirical economic studies.

  • WANG Li, LI Qi, ZHOU Xiancheng, YANG Lingling
    Journal of Systems Science and Mathematical Sciences. 2026, 46(3): 990-1010. https://doi.org/10.12341/jssms240803
    With the increasing demand for rural delivery in mountainous areas, the routing problem of rural delivery logistics in mountainous areas (RPRDLMA) has become an academic hotspot. Based on the background of rural passenger, cargo and postal integration development, the RPRDLMA under the cooperative distribution of bus-electric vehicle-drone (RPRDLMA-CDBEVD) is studied in this paper. Firstly, the village service points are divided into type TC and type FC, meaning that they are served by EVs or by drones, according to their geographic location, distribution characteristics and volume of cargo delivered or mailed. Next, a continuous function of bus idle capacity is established based on the tidal rural passenger flow characteristics. Then, the RPRDLMA-CDBEVD model is constructed with the goal of total cost minimization. Specifically, the total cost includes commissioning cost, capacitybased cost, distance-based cost, time-based cost and electricity consumption cost. In order to solve the model, a hybrid algorithm of multi-constraint modified clustering algorithm and improved adaptive genetic algorithm (MCDCA-IAGA) is designed. The experimental results and case studies show that the collaborative delivery mode of passenger shuttle bus electric vehicle unmanned aerial vehicle effectively reduces delivery costs by 2.9% and delivery time by 8.6%, providing a feasible solution for logistics path planning in mountainous and rural areas.
  • MA Qiang, GAO Ya, WANG Hong, HAN Haitao
    Journal of Systems Science and Mathematical Sciences. 2025, 45(5): 1566-1587. https://doi.org/10.12341/jssms240020
    Since the launch of a new round of power system reform in China in 2015, the establishment of a single-track-based electricity spot market has gradually become the focus of attention in domestic electricity markets. However, up to now, a mature electricity price forecasting model has not been established in the unified spot market, and power generation and sales companies, power trading centers, and power users cannot make full use of electricity price forecasting data for auxiliary decision-making to obtain the best benefits. Therefore, this paper proposes an electricity price forecasting model based on electricity price formation mechanism and XGBoost algorithm. Firstly, according to the marginal clearing price formation mechanism and unique bidding rules adopted in the unified spot market, the unified cumulative bidding curve of the whole network is fitted by piecewise function, and the unified clearing price prediction model of the whole network is established by combining the bidding strategy of power generation enterprises. Secondly, according to the relevant data published in the unified power spot market, the XGBoost algorithm is used to select features and solve the different daily ladder bidding strategies of power generation enterprises. Finally, the hyper-parameters of the model are optimized by the highly automated Optuna algorithm. The experimental results show that the electricity price prediction model in this paper has stronger interpretability and accuracy than the XGBoost algorithm directly substituted into the data, and proves that the XGBoost algorithm has higher prediction accuracy for the bidding strategy than the gradient boosting regression tree algorithm and the random forest algorithm, thus verifying the superiority and effectiveness of the model in the electricity price prediction of the unified power spot market.
  • Yujie ZHANG, Kaihua CHEN, Yanping ZHANG
    China Journal of Econometrics. 2025, 5(4): 941-959. https://doi.org/10.12012/CJoE2025-0124
    Abstract (1000) Download PDF (337) HTML (552)   Knowledge map   Save

    As the scope, actors, forms, approaches, trends, and influencing factors of innovation inputs continue to evolve, the research objects, domains, and methodological perspectives of innovation inputs analysis are continuously expanding and becoming more refined. The optimal allocation, efficient management, and strategic decision-making of innovation inputs necessitate a systematic and scientific measurement framework. This study develops a theoretical framework for the innovametrics of innovation inputs, emphasizing their role throughout the innovation process. The framework aims to provide analytical perspectives and methodological tools for addressing key measurement issues related to the level, structure, and influencing factors of innovation inputs. Based on a review of the evolution of research on innovation input measurement, this study categorizes key measurement issues into three dimensions: development, structure, and dynamics. It further proposes the key issues and analytical approaches associated with each dimension. Additionally, considering advancements in innovation input management and practical demands, this study outlines future research directions in innovametrics. The development of this theoretical framework not only advances the theoretical and methodological foundations for optimizing innovation input allocation, management, and decision-making but also provides a systematic framework to guide academia, policymakers, and industry practitioners in understanding and effectively applying relevant measurement theories and methodologies.

  • CHEN Shengli, LI Xinru, LUO Menghua
    Journal of Systems Science and Mathematical Sciences. 2025, 45(6): 1813-1831. https://doi.org/10.12341/jssms240755
    As an important component of the modern economic system, digital finance has a crucial influence on the development of new quality productivity. Based on the panel data of 30 provinces and municipalities selected in China from 2013 to 2022, this paper uses the entropy weight-TOPSIS method to measure the development level of new quality productivity at the provincial level, and analyzes the impact effect and mechanism of digital finance on new quality productivity through the two-way fixed effect model and the mediation effect model. The research finds that digital finance significantly promotes the development of new quality productivity, and this conclusion has passed the robustness test and endogeneity treatment. In the heterogeneity analysis, it is found that this promoting effect shows differences in different regions, different innovation capabilities and different degrees of enterprise agglomeration, presenting a pattern of “Central > Northeast > East > West”, “high innovation capability > low innovation capability”, and “high degree of enterprise agglomeration > low degree of enterprise agglomeration”. The mechanism test finds that digital finance promotes new quality productivity through the positive effects of promoting the level of science and technology, improving the efficiency of resource allocation and optimizing the upgrading of industrial structure. The threshold effect analysis find that when the level of innovation output crosses the threshold value in the process of digital finance influencing new quality productivity, the promoting effect of digital finance on new quality productivity weakens, and there is a marginal diminishing effect. Therefore, this paper discusses relevant policy suggestions, providing useful ideas for the formulation of policies on promoting the development of new quality productivity by digital finance.
  • WANG Yuyan, DING Luping, HUO Baofeng
    Journal of Systems Science and Mathematical Sciences. 2025, 45(5): 1471-1493. https://doi.org/10.12341/jssms240085
    Enterprises must choose a live streaming method that matches their own development to make profits through live streaming sales. This paper considers three live streaming methods: Manufacturer self-broadcasting, entrusted internet celebrity live streaming, and self-broadcasting + internet celebrity live streaming. Based on game theory, a live streaming e-commerce supply chain model is constructed to study the streamer's ability to sell products and fans effects, the impact of supply chain members' decisions and the best way for manufacturers to carry live sales. The research found that: 1) A streamer's improvement in product delivery ability will help increase product prices and the streamer's effort level; The stronger the fans effect of Internet celebrities, the higher the product price and product sales. 2) The price of products in the internet celebrity's live broadcast room is not always lower than the price of the manufacturer's self-streaming. The relationship is related to the internet celebrity's ability to sell products. 3) Self-broadcasting + internet celebrity live broadcasting is the most beneficial way for manufacturers to make profits and expand market share. The conclusions of this paper can help members of the live broadcast e-commerce supply chain make reasonable decisions and help enterprises cooperate better.
  • YAN Ruosen, JIANG Xiao
    Systems Engineering - Theory & Practice. 2025, 45(4): 1168-1188. https://doi.org/10.12011/SETP2023-2660
    This paper empirically examines the relationship between customer enterprises' ESG rating and supplier enterprises' green innovation, using all A-share listed companies from 2009 to 2022 as the research samples. The empirical results show that customer enterprises' ESG rating can positively influence supplier enterprises' green innovation; customer enterprises reduce the amount of funds absorbed from supplier enterprises, encourage supplier enterprises to increase innovation investment, and improve the managers' green cognition of supplier enterprises are the three mechanisms of promoting supplier enterprises' green innovation through customer enterprises' ESG rating; supplier enterprises' market power will negatively moderate the positive relationship between customer enterprises' ESG rating and supplier enterprises' green innovation. Heterogeneity analysis shows that the positive influence of customer enterprises' ESG rating on supplier enterprises' green innovation is more significant both when customer enterprises are under greater legitimacy pressure or have more substantive ESG practices, and when supplier enterprises lack credibility or face stricter environmental regulations. Further research shows that customer enterprises' ESG rating is more effective in promoting supplier enterprises' green innovation when the uncertainty of ESG rating results is low, and that supplier enterprises' green innovation contributes not only to supplier enterprises' own ESG rating but also to supplier enterprises' total factor productivity. This paper highlights the spillover effects of ESG rating pressure from the perspective of supplier enterprises, and provides empirical evidence and management enlightenments for effectively promoting enterprise green innovation.
  • Qiang JI, Xiangyang ZHAI, Dayong ZHANG, Pengxiang ZHAI
    China Journal of Econometrics. 2025, 5(5): 1295-1310. https://doi.org/10.12012/CJoE2025-0194

    Climate change has emerged as a new source of instability in the global financial system, making the scientific identification and assessment of its transmission channels to the financial sector a critical issue in the field of climate finance. Currently, climate-related financial risk modeling and practical applications still face numerous obstacles. In this context, this paper reviews several key developments in climate-related financial risk studies, including the characteristics of climate risks in financial markets, the methodologies and practices for assessing climate financial risks, and future research directions. To be specific, this study first elaborates on three crucial features of climate financial risks. Second, it systematically reviews three streams of approaches for climate financial risk assessment developed in recent years, analyzes their applicability and limitations, and examines relevant practices adopted by central banks and financial regulators across different countries. Finally, the paper identifies promising directions for future research to support both theoretical advancement and practical implementation in the field of climate financial risk assessment.

  • SU Yanyuan, CHENG Simin, ZHANG Xiaoyue, ZHANG Yaming
    Journal of Systems Science and Mathematical Sciences. 2025, 45(12): 3870-3902. https://doi.org/10.12341/jssms240046
    Individual selection preferences and the abuse of recommendation algorithms have trapped the public in an information cocoon dilemma. It would trigger differentiated collective behavior, exacerbate the formation of opinion polarization, and even have a serious impact on social public order. In this paper, we systematically analyze the effects of differences in public behavior within the information cocoon on the interaction between heterogeneous opinion groups, including the intra-group homogeneity restriction weakening-strengthening effect and the inter-group inhibition-promotion combination interaction effect. Then, based on the Lotka-Volterra modeling approach, the opinion polarization dynamic model with the interaction of heterogeneous opinions is constructed. Besides, the equilibrium points and their stabilities are estimated, too. Moreover, we also explore the law of opinion polarization through numerical simulations and empirical analysis. The results show that under the influence of the information cocoon, the weaker the intra-group homogeneity restriction and the stronger the inter-group promotion effect, the faster and the larger the expansion of the two groups, and the more likely to generate binary polarization situation. What's more, when the inter-group inhibition effect is stronger and the intra-group homogeneous restriction of heterogeneous opinion is weaker, the expansion rate of the group would slow down and the size would decrease and even disappear after reaching the peak, and generate single polarization situation. In addition, the potential diffusion range positively affects the expansion rate and final size of the group itself. Furthermore, the potential diffusion range would also slow down the expansion of the heterogeneous group under the inter-group promotion effect, but does not affect its final size.
  • Libin LIU, Rong ZHANG
    Systems Engineering - Theory & Practice. 2025, 45(8): 2447-2461. https://doi.org/10.12011/SETP2023-2808
    Abstract (921) Download PDF (1078) HTML (854)   Knowledge map   Save

    Carbon neutrality is of great significance to the sustainable development of human society, and carbon neutrality technology and ecological carbon sequestration are two important factors affecting carbon neutrality capacity. In this paper, we develop an economic growth model that takes into account both factors, while also considering the deadline for carbon neutrality. By the theory of optimal control, we obtain closed-form formulas for optimal consumption, investment, capital stock, and carbon neutrality capacity. Based on theoretical and numerical analysis, several policy recommendations are proposed. Specifically, countries need to set carbon-neutral targets that match their own endowments and target capital stocks. Countries or regions within the same country should choose different technical levels of carbon-neutral investment according to their different stages. Unlike usual expectations, the path of carbon neutralization capacity may decrease with the elasticity of output to investment. As the deadline approaches, investment strategies may be abnormal.

  • Yinggang ZHOU, Zengguang ZHONG, Qiuping ZHONG, Guobin HONG
    China Journal of Econometrics. 2025, 5(4): 976-992. https://doi.org/10.12012/CJoE2025-0165

    As an innovation and development of Marxist productive forces theory, new quality productive forces have received widespread attention since its proposal. In accordance with the connotation and characteristics of new quality productive forces, this study constructs an indicator system based on TEI@I methodology. With the comprehensive consideration of industrial development status and government’s catalytic role, we collect basic data from four aspects: Industry, workers, infrastructure, and policy basis, and explore relevant policy texts to measure new quality productive forces of 31 provinces in China. The results show that the development level of China’s new quality productive forces is at the early stage, and has a certain space aggregation and uneven development between the east and the west. The construction of new infrastructure and the cultivation of new workers will be the key points to the development of new quality productive forces in the future.

  • CHENG Weitao, PAN Xianli, ZHANG Xinyu
    Journal of Systems Science and Mathematical Sciences. 2025, 45(7): 2075-2092. https://doi.org/10.12341/jssms240013
    In time series forecasting, prediction error metrics cannot assist researchers in determining whether poor prediction performance is due to an inappropriate model choice or if the data inherently lacks predictive information. Intrinsic predictability characterizes "the upper limit of prediction accuracy" for the data, which can help researchers assess the compatibility of the current model and data. In this paper, we briefly review the concepts of predictability and provide a detailed introduction to the studies of time series predictability based on permutation entropy. Based on this, we propose permutation entropy with covariates to characterize the complexity of target time series when covariates are available and demonstrate its effectiveness through experiments with real glass bubble data. Additionally, we further present a strategy for model selection based on intrinsic predictability, aiming to choose simpler models and reduce the time cost of modeling and forecasting while maintaining reasonable accuracy. Numerical experiments on economic data validate the efficacy of this strategy.
  • Reviews and Perspectives
    Li Chenyi, Wen Zaiwen
    Mathematica Numerica Sinica. 2025, 47(2): 191-213. https://doi.org/10.12286/jssx.j2024-1273
    This paper provides a brief exploration of the basic principles and applications of mathematical formalization, with a focus on the formal language Lean and its application in mathematical optimization. We first review the development background of mathematical formalization, explain the construction principles of the Lean language and its correctness guarantee mechanisms, and introduce the role of the theorem library Mathlib4 in Lean. By comparing natural language with formalized expressions, we illustrate the advantages of using formalization to verify mathematics, emphasizing its important role in the accurate verification of mathematical theories. In the field of mathematical optimization, this paper discusses the current progress of formalizing mathematical optimization theory, using formalized examples of classic theorems such as the quadratic upper bound lemma, and further highlights the characteristics and advantages of formalized mathematics. Additionally, we explore the formalization goals in operations research and investigate the technologies of automated formalization and automated theorem proving, analyzing the potential and challenges of automation tools in the mathematical formalization process. Finally, we summarize the current state of research in mathematical formalization, give suggestions for further advancing the field, and discuss the significant role of formalization in the development of applied mathematical theory.
  • LI Meijuan, LIN Xiaxin, HU Huifang, WANG Lili
    Journal of Systems Science and Mathematical Sciences. 2025, 45(7): 2244-2262. https://doi.org/10.12341/jssms241085
    In response to the scenario of a two-stage production structure that includes undesirable outputs and shared input factors, a two-stage data envelopment analysis (DEA) model has been developed. This model not only enables the rational allocation of shared resources between the two stages but also addresses undesirable outputs by applying the weak disposability theory, which aligns with real-world production dynamics. Furthermore, drawing on the concept of non-cooperative games, the model decomposes the efficiency of subprocesses by considering scenarios in which either the first or second stage is dominant, thereby establishing subprocess efficiency models. Ultimately, we employ the proposed model to evaluate the innovation efficiency of Specialized, Refined, Distinctive, and Innovative (SRDI) small and medium-sized enterprises in Fujian Province. By conducting a thorough analysis of both the overall efficiency and the subprocess efficiency of these enterprises, more accurate and comprehensive evaluation results can be obtained. Additionally, comparisons with various models further enhance the rationale and feasibility of the model presented in this paper.
  • Yong HE, Yi YANG, Yan CHEN, Mingzhu HU
    China Journal of Econometrics. 2025, 5(3): 818-841. https://doi.org/10.12012/CJoE2024-0422

    The rise of large language models has injected fresh vigor into the development of Robo-advisors in China and promoted the innovation of financial technology. In this context, this paper constructs an AI agent based on the domestic generative language model framework, from sentiment analysis, market prediction, factor indicators and other dimensions, in-depth mining of alternative data and traditional financial data in stock trading signals, and then constructs the Chinese stock market investment and trading strategies. Empirical studies show that AI agent based on the domestic large models have the potential to perform quantitative analysis, and that the investment returns under the combined multiple dimensions will be significantly better than the results of a single dimension. This suggests that by utilizing powerful natural language processing capabilities and data analysis capabilities, the application of domestic large models in Robo-advisors is promising, providing new ideas and methods for the continuous development of quantitative investment. With the evolution of technology, the future AI agent will be able to understand market dynamics and investor needs more deeply, thus providing more targeted support for investment decisions, enhancing overall investment returns and creating more value.